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区间算术和仿射算术的研究与应用

寿华好1, 王国瑾2, 沈杰3(1.浙江大学计算机图象图形研究所,杭州 310027;2.浙江工业大学理学院应用数学系,杭州 310023;3.密歇根大学计算机与信息科学系,美国密歇根州 48128)

摘 要
综述了近几年来在计算机图形学及计算机辅助几何设计中得到广泛应用的区间算术、仿射算术及其修正形式——诸如矩阵或张量形式的修正仿射算术、递归Taylor方法的理论研究成果及应用情况,并对未来的研究方向和研究重点进行了探讨。
关键词
A Survey on Research and Applications of Interval Arithmetic and Affine Arithmetic

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Abstract
A survey is given on interval arithmetic, affine arithmetic and their modifications such as the modified affine arithmetic in matrix or tensor form method as well as the recursive Taylor method and their applications in computer graphics and computer aided geometric design. Some future research directions and key issues are discussed.
Keywords

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